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Income Taxes - Schedule of Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions | 12 Months Ended
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May 31, 2025 | Jun. 01, 2024 | Jun. 03, 2023
Income Tax Disclosure [Abstract] |  |  |
Effective tax rate (as percent) | 21.00% |  |
Income taxes computed at the United States Statutory rate | $ (4.6) | $ 20.9 | $ 10.8
State and local income taxes, net of federal income tax benefit | 0.0 | 0.4 | (1.0)
Non-deductible goodwill impairment | 19.5 | 0.0 | 0.0
Non-deductible officers' compensation | 2.8 | 1.1 | 0.9
Foreign-derived intangible income | (3.1) | (2.4) | (1.7)
Foreign-based company income | 5.1 | 3.8 | 5.1
Global intangible low-taxed income | 8.3 | 8.1 | 9.4
Foreign statutory rate differences | 2.5 | 3.1 | 2.3
Research and development incentives | (6.0) | (7.1) | (4.0)
Foreign offshore income claim | (1.5) | (1.0) | (0.7)
Federal return to provision adjustments | (1.6) | (1.8) | (4.1)
Foreign return to provision adjustments | (0.1) | (2.5) | 1.1
Foreign tax credit | (12.9) | (12.1) | (15.6)
Foreign withholding taxes and other miscellaneous foreign taxes | 2.9 | 1.1 | 1.2
Change in valuation allowance against deferred tax assets | 1.1 | 2.5 | 1.3
Other, net | (0.8) | 0.6 | (0.5)
Income tax expense | $ 11.6 | $ 14.7 | $ 4.5
Effective tax rate | (53.10%) | 14.80% | 8.80%

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